Second order differential equations with transcendental coefficients-Reference-Cited by-同舟云学术

Second order differential equations with transcendental coefficients

Published:1986 Issue:1 Volume:97 Page:61-66
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Rossi John

Abstract

Let w 1 {w_1} and w 2 {w_2} be two linearly independent solutions to w + A w = 0 w + Aw = 0 , where A A is a transcendental entire function of order ρ ( A ) > 1 \rho (A) > 1 . We show that the exponent of convergence λ ( E ) \lambda (E) of the zeros of E = w 1 w 2 E = {w_1}{w_2} is either infinite or satisfies ρ ( A ) − 1 + λ ( E ) − 1 ≤ 2 \rho {(A)^{ - 1}} + \lambda {(E)^{ - 1}} \leq 2 . For ρ ( A ) = 1 2 \rho (A) = \tfrac {1}{2} , this answers a question of Bank.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1986-097-01/S0002-9939-1986-0831388-8/S0002-9939-1986-0831388-8.pdf

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